Properties of the Number 37541

Thirty-Seven Thousand Five Hundred Forty-One

Basics

Value: 37540 → 37541 → 37542

Parity: odd

Prime: No

Previous Prime: 37537

Next Prime: 37547

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 31 × 173

Divisors: 1, 7, 31, 173, 217, 1211, 5363, 37541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001010100101

Octal: 111245

Duodecimal: 19885

Hexadecimal: 92a5

Square: 1409326681

Square Root: 193.75499993548553

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p). A282727

Numerators of continued fraction convergents to sqrt(208). A41386

Number of partitions of n in which any two parts differ by at most 10. A218512

Numerators of continued fraction convergents to sqrt(52). A41088

O.g.f. A(x) satisfies: [xⁿ] exp(n·A(x)) * (1 - n·x/(1-x)) = 0, for n > 0. A321087

Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,1. A37541